{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 如何做金融数据统计？"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 目录\n",
    "1. 什么是随机变量？\n",
    "2. 金融有哪些常用的分布？\n",
    "3. 什么是偏峰与峰态？\n",
    "4. 如何做假设验证？"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 什么是随机变量？\n",
    "### 1. 离散随机变量（Discrete Random Variables） \n",
    "\n",
    "摇一颗骰子100次，k次摇到6，k是随机变量，k的取值只能是自然数0，1，2，…，6而不能取小数3.5，因而k是离散型随机变量。\n",
    "\n",
    "### 2. 连续随机变量（Continuous Random Variables） \n",
    "\n",
    "比如，公共汽车每15分钟一班，有100个人在站台等车时间x是个随机变量，x的取值范围是[0,15]，它是一个区间，从理论上说在这个区间内可取任一实数3.5、√20等，因而称这随机变量是连续型随机变量。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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AuNFa+3mSbyd5bW/Wm5N8McmjSY5orc1Jsn+Sj1dV9bPNqpqU5KwkR7XWdkty\nfpIPre/sANCPjYYdAADG2LJhmpf1vr8zSSX5cFXtk+SpJNsl2SbJz/rY3owkL0tyVa8TTkxy9/qP\nDQBrp+ABMN5cluQTVTUnyaattQW9oZZTk+zWWnuiqu5MMnmV9ZZk5ZEvy96vJLe01n5nsLEBYO0M\n0QRgXGmtPZzkmiwdSrns5irPS3Jvr9ztn+RFT7Pqj5LsXFWbVNXzkxzQm397kqlV9TvJ0iGbVTVz\noB8CAFbDGTwAxqMvJLk0/31Hzc8n+UpVfS/J/CS3rbpCa+2uqvpikpuT/DDJv/XmP15VRyU5s6qe\nl6X/bz09yS0D/xQAsIpqrQ07AwAAAOuBIZoAAAAdoeABAAB0hIIHAADQEQoeAABARyh4AAAAHaHg\nAQAAdISCBwAA0BH/H7IJ80TuVT83AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xbbef4a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "DiscreteRandomVariable = np.random.randint(1, 7, 100)\n",
    "fig = plt.figure(figsize=(15, 5))\n",
    "plt.hist(DiscreteRandomVariable , bins = [1,2,3,4,5,6,7], align='left')\n",
    "plt.xlabel('Value')\n",
    "plt.ylabel('Occurences')\n",
    "plt.legend(['DiscreteRandomVariable'])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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0bSK8oZsWzSoEQYgA+COY9kw7t/8wgA8DwIUXXtjFIyN6gaqbCVFFjU5eRO/hA86vuHAU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FOUsWj2zfQ4+RUt3szOA0opXrnbFx7w0jaaLAhnET14uumgrMQH1oggkKjG3IuuS3F9vxscxMwD\nFVXGW6/yMVWzglaWRw4EPA/e4hbJ1v1N6KyDVtLWa8bg8VzTJD2eogEzOy0DjkvnwuBdXverEmJ8\neK5LfQZv8oOEJLkiMCw5vxhh8HgO3rqDZAYP8A8k0wa8RAYvXSEyiUSTx9vJGL5mxD7A8/vgZaoP\nOoOgWFyVJVxa0+Y04HmDyCKErFRL4wFgww68fAPovCSaB+10ZpTnmS+KoALk1IN3ikmwXI1fuIFQ\nSmXMB3K9XsZGvRwEOWRBPGSFDR7xiyulFLtzYPDYABdX3yDkwavyMXjTjsrlTcTLKqOdhMG727fQ\nNx1hiWY1RaKoc1ZWFI1VTUXPdFJlPT3TnrgiAUgfcO80dfRNZ27+u0WFpg5Plm2/rJtJfRcRjBmZ\ndRdeM+UEmScAi2ESDzFvDxkDq0iYB2N8fqUKWSK4GZOk2TVtUFqMjzqtH/A26xgLHZStc0o0O0Yy\ngwd4EtuksBKvRzb+2SBLBCVFSrxXhoFT2TUJUYlmq29ySDTjGbyOYaOR8XfrnAcZHoM33Ig/sFGb\nG4NHCLBRn/+AVyvJMB0XVkjpNEkHHhA+jJ7tWhj2WMZhtVYqPEWT2TxOGbwZgRCyQgj5LULIc4SQ\nZwkhb5zHdRSNpZQB705TTw0xuXa2LsTglWSJe8Ndyxg8jnteyfkkCZp5wK4/bgOvCzB47EQ0K6Sm\nKO9GEgKmNONUTDeTUzQBYKXmMXh5IoxZRcJ9ggyeJBFUVCmWwQo6CVM8FtMAk96lsZl9k/8gIA1x\nxd0M7HM5T4nmIsLrffTeL5a+WltkBk+ALSsSaQdy7N7l6Qhrs7TCHGtYrSxW8j6PDjwGVZZwcbUa\nm6Q5iUw1irT74c5dHYRgRNXCGLysdbk7sFMDR7ywkpiQlYGVyvwB3mY/icFj63Q15ZClrMgoKVJs\nyErWBpjdv9H12Av+KZ7BA4YDXla3bNHY7wywXitBnZKdQwRxcso7Te/+zLtnSwtVmyYOOgM0Kkri\n3m6dkyUXQXMC5cNJx7zu3p8F8P9SSl8F4HEA90RxelIRKIAgQTMpxOThMw1c3+9yLWRMasjbf6Jl\nRHHvtPyS8xlLNMtKCoNn8YesNCoKXJo9WHnejekxDBqnB6/HweCZjptLH5+n5JxBKymx185+P7MM\n0AA8zwuQXi7cHziFDBVxxd0ML/gJmg/NUaK5iAhvNtn7NqkXcpoYljzPNna92begyiT2IEKWvD/n\nYfAmkWiKlrzfOu5DlcnMnwkMXhde3IDHIvkLSNFMkWhuN3WcaZRRUoZbpDWtBMuhme9jL8WDB6RI\nNI30wRBga3S6RDNrnV6KBO64rtfTmMXgrSR48DocB6c8UuSB7aBt2COs2QObXuDOju+JmxX22wbO\nxPjE5oE4ln+7qWOzXk4NtkkDbyBc0djvGInsHeCrlyYImIsD6z8+ZfBmAELIMrw+vX8LAJRSk1La\nnPV1TANLFU9SZseEhmw39VQJ5LWzDfRNJ6De0+BJDfkfcGVFhiqTxNOz4YA3HwYv1oNnCYSsVOOT\nwaJoTdmDx+N1BFhNQlrISv6yc8bg5TFfexvNBZJocvTi9K30wBpeBANezL34wl4HZ5cqX5cngGmo\nluRgsGNSn5PA4M1aoumt16XEAzmvBFogZCVnimZ3kNzzGMWt4z4urmoTe1vz4vK6hpdjpHlFdpmy\nRMlYBq+pj/nlh+tR+nOma9iol9MLw5NCVtIGQ8BPVLSSJJrZHjzA+xyEPwOdAZ/sNanrt8MxmA4D\njpLv80M/PTE8ADyw4VclzDhJc6+zGCXnQLx9YLtp5A5YGX3NGUs0O/EdeAxrNRVHPb40eV4wz+hK\nRojQvYh5MHgPADgA8H8RQr5ACPlFQkhtDtdRONjQFSe/2GkZqXpp5u/h8eHl8ZJpCV0qgFeRAMxj\nwEsJWbHEevCA+G6hMKYt0ayoEghJLqIFPL9jVk0CW4jyBK3cvqtjqaLkGka0mDhmIJSiOWuJppbd\ni9MfFNO9Vg1M5/ESzatnT9m7KGqlYXlxULI84yAeESQlCE4b7YwDuVqZj8Fjw03WEBCHelmF49JY\ntUQcbh3NpwOP4fKaV3IdrUkpsss0jdG909THntdrNT/GPWU9cl2KrpkRspLgGc/y7gHeGp1Yk8DJ\n4DUq6shh6JDhSN8AV1QZFVWKSdHMPjitcSR5H/oR+mEG74pflTDrLry99mKUnANhb/+oRHOSypx5\npWjudwaxCZoMa7UyDMstVDra7FtQJDLTjtZFwTwGPAXANwL4Pyml3wCgB+Anol9ECPmbhJDPEkI+\ne3BwMOtrzAW2yEXlF45Lsds2YgNWGB5mSZr70xnw6mUlUcK43TKgSGTmhuKhB29806FbAh68YLBO\nHogcl6Jj2FNlYQgh/qY3eXEa2C4oRWraIBts8jB4r/gn73mQtHkIPHgzT9FkTGa6B68IWWBSjLfj\nUnxtv4urZ079d1Fo5WG6G9u4FRF4My2khWpME03dTN08e4dvPAyeNwDkqXkJ5Iic8lSvA29+nYuX\n/CTNqA9vEh9iFMHAH7kfXJdiJ4YhCQ6cUhiGvuWAUk8Sm4SligLDGq9nyPLuAckqC2CotMg6ZGlE\n+v8ChoPj2bhcVYOBEPD6Ag3LTf15gXS2lOEgpiNta6mMqirjxgyDVmzHxVF3sBAl58A420YpjT2A\nyPeas/fgbabsM3kOUUTB/KW8lqZ7CfMY8G4DuE0p/Yz/378Fb+AbAaX0FyilT1JKn9zcXKx48CQk\n9cTsd7zI6bQTl6WKivPLFbwwNQYv+ZR4t2XMvOQcCHvw4oYKl9vzxTp40iSa7IE2TYkm4MvWUk7j\n2UZYS3kIDyWa+Rg80YoEhrhCVSBk3p/xCVgw6KZJNDPYUF4EHVORe/HWcR8D2z1N0IyBl6Lph6xw\nysPmCa0kg5D5hKykrdf1ssyVcDlJCnCDQyIXfJ++hZZuzSVgheH+dU/UczPiw5tEphpFINmNvPcH\n3QFMxx2pSACAtRob8LKfM2kHHcvVeMUJL4OXxG70TQeqTDKDQaISzaaAR2m5qo7UJLBnbtZgysXg\n+QmLG6EBjxAy8yTNo54Jly5GyTkwPowddk2YtjvRgFdR5Ey1UdHoDWz0TQdnUqSvwSFKgWXnrf50\n09MXGTMf8CiluwBeIYRc8//oKQDPzPo6poGAwYsMGkFnSYZh/erZBp7fy5Yi5LlhtRSfx04r3R84\nLQQevAiDRyn1GDyFt+jcZ/BSJJpD78Z0GYZaSU7dRA03wikpmoFEU2yRo5Ti9l09t7RKKynox/g7\nmKyL9/dRFFRZQqOipIesmMWErJRkr0svOpyzBM1TieY4tPLQg8fu60Vm8AghY5vbWaCZsV4nhRtF\n0TaszI10EmoC7OUrd+eXoMnAvvetSNn5JDLVKMqKBFUmY+8JC6oaY/A4PMFM7pkl0QTGD4Kz+vOA\n9HtFN20uifSYRFMgvGelWhq57g7nwakiSygrErop9/lBINEcZbsf2JztgLdIJefAeCDKsAMv/4An\nBeFOs2Pw9hlDm8LgrdezbRmiyFJQ3MuYV4rmDwP4FULI0wCeAPDP53QdhSKJwUsrOQ/j6lYDL+53\nY0NaGA46A3QGNpYFb9h6WU6sSdhpGTg3wWKRF0kMHpNsVjjZgKTBOoxJEuhEkLVZYwxRmkSTnaSK\npkkd90zoljMRg7dIEk0guxPQq0mYfLNHCIEWM5xf9we8h08lmmNgHjzmKwUW24MHiKdJFoEs5q1W\nljMTgIFhenIeDNmq7DVlnh14DNWSjDONMl6OSjQnkKlGwQb+6P0w7Bgb/fkbZQWqTFI3n2zgSZVo\nJjyvssJZgOQ1GuCXqzciKZpBjDwHg7dUVUe84e2Awcv+u1ldjAfdAZar6pjX+8pGDa8c92HGWDmm\ngUUqOQfGO+smLTkPv25cqNi0ECfBjYJHtSOKZj87IfZexVwGPErpF3355WOU0u+mlN6dx3UUjaSw\nD/aBTPPgAd6AZzrumCyFwXUp/vZvfhElWcK7HzsndG1agjeMUuoNeHNh8LyFK+rBMzi9BAyNgMFL\n3rwUac5PQ62czuAFEs2U4VWVJTTKirAHb5KKBMCT3MVLNP2Bex4DXq2UKFVlg0VRyY1x8qfn97q4\nuFpdaGZqXtDKMlzqfX77J8CDB/hpkjNk8Hi8v1pJSTx8C2MiiWaC3ywOizDgAV6S5q0xD15255oI\n6pVxRvdOAoNHCPFj3NMYPDt43SQM9wnDdW1gOzAdl6MmId2DxyORXvITVVklU8t/znAxeNpoxUPA\n4HH8TmrldK/pYXcwxt4BXpKmSxFbmzEN7HcWi8Fjayp7NrEDiIsrk30+vRTk2a2F7H1Nk2gyGXSR\nZefNvsV1eHEvYv4tjvcQkhi8nZaBRlnJNIZf830+ST68n/+jF/HH1w/xD9/9ajws6AlKOj2727dg\n2i7OzmExK7OQlcgpkuhAUVZklGPKW8MoMl47DZkMHodEE2Bl53kHvHwMXtLmQbecQMI4a6xpauKG\nigXWFOUN9CSq4wzeqf8uHsxH2jed4PBokT14AGIZm2mCbYbT/E2819Qx7Nzrl0jJ+63jPlY1depr\nZRYurdVw8zgi0Sy46qZeVscHvGYfy1U1Vga6ViulSsbZAJ0mIY3bJ/D8PcBbo5I8eLrJF0xWryig\ndMgINfsWtJLMlZIcrXjoCDB4tYz7/KAziGV3gqqEGck099oDEOKVbi8CogzenaaOWkme2Ieqqcmd\nitPAAYdEc6miQpZIoQye1/G4GL/LWeN0wCsQFdXT9Md58LLYOwB46EwdhADP740PeJ+7eRf/64df\nwDsfO4cfeP19wteWFLJSFN2fB5UEiSZvGlgYSdHTDC0BGcok8CLPUxg8zo2wJ00Uk2i+MkEHHuBV\nBSSFrJRn3IHHsJqyoQqSGwsq166q8ojp3HJc3DjoBQm3pxiFFgR32NBNBxLxfE2LjHpFHQvVmCZ4\npOHsYCWro84bbvLd63WBiohXjvtz9d8x3L+uYa89GHk+FF1140l2xy0VSXaKLMk4u7dSi85j6pS6\nHH8P8O4V03FjbRyeRJPPgwcM2TeeknOG5arX9Wv531+keD4rTOiwa8YmeQ8HvNlUJey3DWzUy4XI\ngItAWZEgkWFNwnZTx4XV6sSpkFpZHgsVmyYOOgMoEglkmHGQJIJVTS3Mg2c5LroD++uy5Bw4HfAK\nBSEktsR0u8XXWVItybi0pgXBDgytvoUf+bUv4PxKBT/1F1+b64OddHq265ecn80IgJkGVJlAIhjr\nZmJDhkix9ma9jM/dvDsWPc0QPIimHLLiMXhpISt28HVpWNFKORg87+Q57waIbR6syOZhYPN3EhaN\n1ZT3gb3PRTF4UXntzaMeTMcNmPVTjIIN1rrleFLZkrLwUdSNsoJuykFQ0WhyDHi1sgLbpTBTvNeO\nS9EZzI7Bm7c8ExhWJYSleW3dLiRBk4EVwIdx525yBD0vg5cmtYyTaHY4/h4QSlSM2ZjrlsO1Fkb7\nIJsCrCjbKLM9jogHLy+Dt6KVsFYr4aXD2Ug099qLU3IOMH/4cF8xaQceQ5rcdxrY7wywUS9nprWv\naqXCUjRbHAqKexmnA17BWKqoY16wnaaBc5wD1NWtBl4IJWlSSvET738ae20D//sPfGPuB3yt5HXv\nOO7oKfGOnxg1Dw8eIQRlRR4bygxbPNTjx779Kl7Y6+JnPnI99v+3DQsSKY7tSYJWGkbHx4E3Tn5V\nU4UZPC9Bs/huHF7pzzSwViuhZzqxVRpBcmNRDF5Eosk+h6cSzXgE0qGBjf7ASQ0OWhTMWqLJs8FI\n6mAMg0nh8nrwyooERRpPjIzCdlzcuasvBIN32a9KeDkkzeMp1RZBvTzqyWQdY0ky99Va+rrc5fCi\nVlTPUhDeJ/B494BQnUuclJ6TwQsCd/x7qtW3uDfA7P5jQSttwwYh6aEyDGkDnm466A7sxC5eryph\nNgzeXnuArZQy7nkgrMBKY5hFUJ2DRDMtYIVhtVYqjMFj9+lpTcIpCsFShMEzLGmGCWIAACAASURB\nVAdHPRMXOCWQ17YaeOmwFww9v/yZW/jQV3bx4995DU/ct5L7ulgQRVSmudPU51JyzlBRpTEGzzDF\nB7xvf3QL3/+6+/Dzn3gRf/7y8dj/b/mnlNPu+vMCE3hqEngkmuIevEmM10mbB8NyhdjUIrEaVEaM\nb6qGbGhBHryIRPOFvQ4IAR7cPJVoxiF8IMAYvEVHvcJXKl4UmhwBFmGpaxKGUrh8GxVCSCxbFcVO\ny4DtUlxeX4ABby2OwStWohl9T9q6je7ATmbw/HU5elDK0B3YvlUjfb2MWgoC5i8jRTOtoLpv8dck\nAEOJaFM3uT1KUf9gx7BQLylcz9V6KTlFk3XgJQ0As+zC2+8MUoNA5gHGtummg+OeOVEH3uhrzu6w\n66Az4OoWXK+lBxmJoOV3Np7WJJyiECxX1RFt/U6LMWR8H8iHt+pwXIobBz08u9PGT37wGbzt2ib+\nxrdcmei6mCQwurlhJefzCNAAvCEuys4wBk9UFvj33/Uo7lvV8GO/8cWx0vOiNwZJqPkyx6RIZ5Za\nlS3R9Mz/aZUZYXgdeP3cASveNcUfAhj2PBk873cWJ4squlxbi0g0X9jr4PKaNvOC95OCWsSDdxLe\nJ8bguQkb9KLRDiSayRuMWqTnKvZ1CujxjLJVcViUBE3AWwMbFQU3/SRNl8lUCzyNb0RSNG83033M\na7USKB0PUmPocFQdAONhJdwMnsrulfHfo/cZzL4/liKJqs0cDB67r9u6zd3NmJaiedBND+B4YKOG\nvfYg9RCkCFiOi6PeAGcWjsHzwtuGFR4nU6LJzeAVNOCxg+HTmoRTFIKl6qhEU7SU8ppfqPylV5r4\n73/181ipqnjf9z4+MfPEGLyofHCnZeDsHOSZDBVVHqtJ0M18sfz1soKf/suPY7up4yc/+MzI/2sb\nxXo3kqBFIo2j6FsOFImglBFGETBXKdUPYRz1TBiWO9GAN9w8RBm8+Q14aaXvRZdra6VR0/kLe13h\ntNqvJwSMr3WCGDw2lM7o5JorZCVhbQ6jzfE6WaiXlcyAGTbgLYJEkxCC+9drQW1Q17RBabE+6kZZ\nwcAeHsgFFQlJISt+smLSBrQ74Bt4lirKSJ1Sh7PAXStCollhEs1hyArvfRVINH1mpCMgma2X5aA3\nM4qsjrQrM0rSPOwOQOniVCQwsGGsiJLz4WsmJ7IWDcelOO7xDXiMJS/iEC4Y8E49eKcoAstVZeRk\nTjSl8spGHYpE8E9/71ncOOzhZ77viULkk8EpceQEbaelz8V/x1BWpHEGL0eKJsOT96/hv33bg/jN\nz97GH3x1N/jzSTqkRFALTPDJXgOehzBbkHiDVl7xN0F5O/CA0OZhLNXUnasHD0CsJp+dYhdak+C/\n5sB28PJhD1dPEzQTUQupAvrmCfHgCaRJFoFm30JVlVMPdOocEk32TJmEvWpwdADeOu5DkQi34mTa\nuLSu4eaRt6mfRpdp9L0PGJIUBg9Aony+a1iZQxowbuVggzdvyEq005ZSij5nD94wRdOCYTkY2C53\nujQ7cGv1mURTjMGjNJ6pZhLNRA/e5mwGvEUrOWfQyl6P8XbG/Sn0mr5EMyu9twgcdQdwKbgkmmu1\nElyK1FR0XrAD8tOahFMUAhaywj40202WUsk3RJUUCfdv1NAd2Pjhtz+ENz20Uch11WJS1OZZcs5Q\nVmUYUQbPEk/RDONHn7qKV59fwt99/5eDk8FZSTSHfpr4k7HewM6UZwJDBo83aCXowJtCyMrAclCZ\nU/x98D6kSDSLrElgQUQvHfZgu/Q0YCUFWsjXyxvRPm8EaZIzKjtv6dnyN40jZCWQaE7I4GUNttf3\nOri0ps1Nsh/F5TUNd+7qsB13OOQW6sHzXou9L3fu6igrUmIHGluPkqtbHK4BbznGg6dIJLNmhD07\n9AjbyzpBeQ7iaiUZEvF+5qGEjW8DzNjTZihFk/f3UUs5yGDP6fWYonMAuH99NgPevh86t3ASTd8f\nfqepQyLAFseglIVqSYZLMaagmgb2MxjaMNYyWHIRtPqmFwI05fT0RcXpgFcwlqsqbJcGm8+dlo6N\nepmrRJThOx7dwlOvOoMfeerhwq4rLmSl2bcwsN25VCQwVFIYvErODWNJkfAz3/cEugMbP/Efngal\ntPD+pCTUEnxsDH2Lj+lIG2ziMCw5LyJkJeLB44zfngbY5vi4Nz7oso1CkTUJgHfAcJqgmY1w0Xmf\n8+Bi3gjkabNi8DiUA0MPHkfIyiQevIqayhIaloNPfe0Iby7oULEIXF7XYLsU201DqHONF8NEySGD\nd2EluWMsYPAS1uXOwM700QHekBr14NUr2TUjSYdwIn5kQogn1zXsQGrJK2FTZAmNshIKWeFn8NKq\nOg67A6xqamI4TUWVcWGlOn0Gr7OoDJ7nD7/T1HF2qVJIR19aYE/RCDyWHINzlgxaBGz9nXa43qJi\n8Z/IJwzshLVtWKiVFb+zROw06Me/81WFXxfbfIUX1+2WLx+dswcv6jMLBjyBoTiKh7ca+InvfBX+\nyQefwa//+SueRHMGOuxqxmm8txEWkWjyMnh9rGoq1+lxErSEsAfdcib6XUwCVZbQqCixkii94JCV\namij/cJuB7JEcMWXBp1iHIosoaRI6Jk2eqYTHG4sMhpzYPAyBzxOiaZEsj1aaaiX5dTB9tMvHkK3\nHLzj0a3c36NosKqEm8e9YF0qtOg88KN56+wdv0Q6CQGDlyTRHFholLMPhZarQ6UPIV59Bc/vNrHK\nxhJbCxsVj0Fs5YiRD8tLRWorainqFp4I/Qc2argx5QFvt6VDlgjW55QqngTmD9/OuD9FED5YWktg\nrIvCgS995U3RBAoa8PrW123ACnDK4BWOaIzwTsvA+QXwM7CHR/jBMCw5n68HbzDG4LmQJQJVnuzU\n5a+96X68+aF1/JPffQaG5U695BzIPo33pGzZ18EGPN6qhNt39YnYOyB58zDPmgTAOzWPex96poOS\nnB1JzgvGSOmmgxf2Orh/XRNi3r8eUSvJ6A8c9E07kCcvMmbtwWtzDXjxvqqR1/E30pMUyWelaP7h\nM/uolWR885W13N+jaLC6hptH/UKCZqKIskrbzeSSc8A7wKuqciKD1zVsrtCnpaoClw5/552BzVUW\nnlRlw1QXvF5p5sds5nhPVzQVrb43nIp58Lxri2fwzMysgQc2anjpoDtVz9jNIy+JelEkygw1v2Ki\nqJJzIL1TsWgcZNRghLGa4XMVQVO3sPx1WpEAnA54hYOdLrZ1z7y63dRxTpDBmwaCpLbQ4ipa4TAN\nxNUk6L7na5LNDABIEsH7vvfxYFAs0pyfhKzNGq9XqV5WoEhEwIM3WUUCkNaDN78UTcA7NY+vSbAL\nDfYIfncDB9f3u6fyTA5oJU+uZTk0GJAXGbP24PFE0FcUGYQMK1TiUISHuF5WoVtObPWK61J89Nk9\nvPXa5kIdamw1KigpEm4e9YL6oaJ78ABv6DAsB4fd7I6xtVoJRzHrEaU0kFpmIXoQ3DVsrrLwJJXF\nUKLJN2yxeohWjpRBVvHQNx04LuX+faSFCfEyeG3DLixCPw4vH/UCv98ioVry0sZ3mkYhFQnAbCWa\n+20DjYrCtY9Y8weyuM+YKFp985TBO0VxCC/cbd0LHyjqAzkJajE9eDu+HIHnVGVaiC06L9DzdW65\nip/87tcAmI1xOngAJ2zW+iafRJMQghWtxJWi6XXg6RMPeGFPFYPrUgzs+aVoAskMXt90Ch0qmESz\n2Tfx8lHvtCKBA1pJDhLwTgKDx4qkZ+XB45FoShKBpsoZDJ49MXPFBo84idyX77Sw3xngHY8sjjwT\n8N6bS2vaCIPHM0DxohHy4GUlaDKsJRQxD2wXlkP5UjSDg2B/wOMcDGW/Yiea0izaCepVZlghDx4/\ny7FcVdHUrcC3yMM8AiGJZoy65bA7yGbwppykSSnFy4d93L8+/4qQKNj+zXZp4QzeLCpjDrp8FQlA\nNksugiZHyNW9jNMBr2AwA3hbt4IHxiJETssSQUWVRqSDOy0DW43yXOUIXg/eOINX5Cnye5+4gA/9\n6FvwjkfOFPaaScgqLdY5JZoAsKqpXDKFg+4AA9uduJxYkSWU5NHNA0vYmueAt6KpuBsTslK0LJBt\njp6+0wKlwLXTAS8TWlkJEvBOggcvkInNgMEb2A50y+EazLwS6HQP3qThIsEwMxj/LH3k2T3IEsG3\nvWr6a6QoLq9puHXcR9uw0CgrhT6vwgxeVgcew2qthOMYZQWTHnL14EUZvAGfBw/w/VgJHjzeg9FG\nRfUYPN2CLBGhz+6K5jF4LAV00pCV3sA7CM8aAFgX3rR8eEc9E92Bjfs3FpPBYyiOwUvv7C0SB51B\nYol9HNZqpdhgNVGcevBOUSjCDN5OS6wDb9qolUZjsnfnXHIOsB68UQZvYLmFpzY+cm6pkOSpLFQD\n2UP8Zq0nECe/qpW4JJrDBM3JF/5qZPNgTFhZUQRY8WkURUfzs97FL95qAsBpBx4HaieMwVNkCVVV\nRjdmyCkaQck5BztS83uuklCIRDOFwfvDZ/bw5OVVISZnVri8XsOt474/5Ba7WauqMmTJCznhZvA0\nNZZdYIcGvDUJwJDB6xh8DB7gKS2iv0O2ZvN2xwYePH8DLGKHWKp6HryOYHVHUphQVgcew4WVKlSZ\nTI3Be9l/3UWUaNZCVoTiQlZmKNHsDHBGoDx+tabiuDeY6Hs6rpeefurBO0VhYHKFtmGFSs7nz+AB\n3gIb/jDvtAycm/O1VVQZhu2MGKd1y8lVcr4IKCkeC5a0WRNh8FY0lUuiWURFAoNXfhoa8Oz8pfNF\nYbVWQt90xrya/UGxAx7bgHzpdhOqTBbyJHfRoJWU4BDiJHjwAG/QmUXIikhCoVaS0z14BdS8DLtQ\nR4fbV477eG63g29foPTMMC6va+ibDm4c9Arvs2KVAYzBkyWCsxkb0dUEiSa7p4Qkmv5Q2PHZSR5o\nZQX6pBLNCqtJEE+XXqmWYDou9v1kRN7fCVsfupHh9ICzI02RJVxa0/DSwZQGvKM+ACzkul9Vh+9x\nUb3FIiEraRUuPBBn8MqxLLkIOoYFSnHK4J2iOMgSCXpitlsGVJkI3djThFaSg9Mzr+RcxzmBU5Vp\noKLKoBQwQ8Z/L9Tj5N6a1YTNmuW4MB13Cgye92AqQroRZfDYv887ZAUYT9XqW8V2r7Hfy07LwJWN\nemHpnPcywvdykYE300TD7wCbNhiDx7PBqGWUkBdR8xLtfGP46LN7AICnFsx/x3DJ90Q9s9OeSlAW\n64Tj7Rhb00roDGyYkYJo9r6KhqyYtouB7QpJNMdqEkyxTtCligrTcXHQHghvgNm1v+I/d3gPHiRf\nCprM4GUzLQ9s1KfK4MkSKUQJUzQYg7dUUbg9j1nQOPo3AeBTXzvEE//4DwPCQhRMgntGoFswiSUX\nQTNHgNC9htMdzBSwVFXR1m3sNHVsLVUWpmTRkwF5H+aWbsGw3IWQaAJDrxfgp2ieEDYgDrVSfGCC\n6CnrSs1j8LJioW/f1bFWK3HFc2fB2zwMF3wmn51vTYJfGRHR5BfN4IU3Rw+fyjO5EJYO1U5A0Tkw\nQwZPIIK+FrNpZxjYTiE1L42EioiPPLuPh87U8cACMheA58EDANN2C03QZGhUFHQHFu7c5eusZTHu\nUXVF4MErZ18jGwLbuhUMPLwSzaoaM+AFPXj8KZqAdzgoKssNBrxjb8Mvcl/GeU15GTwAeGBDw0tH\nPbhu8VUJLx/1cHG1upAHe+w5d6EAlU70NdOk4QDw2ZfvwnRcvLDXyfV99tnvV4DoWK3FJ2fz4OXD\nHv7Vx7+G/+aXPwcAU+/4W2ScjCfyCQMrAm3r1sLIMwFvcWWaf1aRMO/rK/uDnGE5wcPbsFxs1E/u\ngKeVldhTMfZn/CErJVgORc90Uk93i0jQZNBUJVaiuZAMnukUOlSEJYanASt8CN/LRQ7b00RWH1xR\naIpINMsKesf92P/HmKFJ2au4ioi2YeFPbxzhb7zlykSvPU1cXNUgEcClmDhoJg6BRLOp43X3r2Z+\nPdswHvfNEV8Rk77ypmEypY+ItBNgybXjayHAL6Vn32unbeANV9a5/g4DY0QCBk/gvqzHMNUHXROE\nDOPx0/DARh2m7WK7NXnvaxQvH/VweQH9d8Bwnb1QYJ5DWZFASLZE8/q+N9i9cjcfgycywDOs10ro\nDmwMbL7AvZcPe/i9L+/g957ewTM7bQDAN15awT9416N404Mbua77XsDpgDcFLFUUz4PX0vHk5ewH\nxqxQK8nY9YNfWADMvBm8CmPwrFGJ5kn14AE+gxcTZCDK4K2ysvOemT7gHffxyLmlHFc6jmpJHhmk\njAWQaAYbqsiJXs+0Cw3jUWQJJUWCabunFQmcGJVonozHSb2s4FYvfpgqEoFEk0MixArj41BUwXdc\nyfsnnj+A7VJ8+6OLl57JUFIknF+p4vZdfSoMXr3iJcHutg2uAAt24HQcGbJEQlYAX+ljhOsGeAc8\nBX1z9P7VTQclReJOGGUyP0rF76shg9eHKpNAhcODJAZvvVbiCkFjLPNLh71CBzxKKW4e9vFNlxZn\nvxZGwOAVeCBPCEGtpGSGrHxtvwtgaAURxX7HIxNEJJpDltzC1lLyM/4/fuEOfuGPbowMdX//nY/g\nu157bu7kxSLgZDyRTxiWqypePupht2Us1E3mLa7eh3lYcj5/Dx6AkaoE3TzZHjytpMSeirENHLdE\nUxsucvetxX+N61LcbuqFBSRoJRl3movF4K3EMHiUUuimMyIRLAJaSYZpu6cJmpwIM3gnoSYBiGcR\npoGmzmLkJ6tJYIPixCErpfEB7yPP7mG9VsIT9y3mxpbh8rrmDXhT8uB95sYxHJfiwkr20LBeHzJ4\nYXQEahKAoZVjWK/A97NFfdKAeKJw+BpFPUpswLt9V0ejIpbAWQ/tQRh4OvAYroS68N7y8Cb3983C\nUc9EZ0ErEoDhoUFRCZoM1ZI8FtgThu24uOGH2tyelMETCVlhZeddE1sJORF3eyb+zr//Eh7crJ8O\ndQk4HfCmgKWqipcP+7BdOveUyjA8b5j3Yd5tGZAlMpPy7zSw079wVYJhn3AGrywHA3QYeSSawLg0\nMYzD7gCm7RYm0RyvSZi/B29FG/fgmY4L26WFhqwACE40F1Wqs2gID9hF/y6mhVl58LxqA77etlrJ\n80dTSsc2zO1AojnZ+ytLBFpJDpgmy3Hx8ef28RdefXauXag8uLRWw6dwNDGLGYdGRQk8bCIMXjQE\nomvYUCR+Rmu56lkmAmmnSMiKNe7BE0mxHRnwRBk8fz0e2C7OLYvdk7WyMhbWcdDhL8E+0yhDK8nB\n0FEUbh4tbkUCAKzXy/i5H/gGfOvDxcoNtQS1EcOt434QgDfJgKdIJPjc8ICpdtL2Pr//lR3YLsVP\nf9/jePX55VzXdq/j5NIkC4zlqhp8KIrUTE8KLXRKvN00cGbOJefAkBkKR+B7DN7JHfC0BNkDeyjz\npg0GEs2URe6VAisSgLiQlfnXJKiyhKWKMvI+iLKhvKiWZDy0WZ/75+KkgN0XikRQEpBqzRPMg5cV\nXjQpRJIvtbIMl46GTTG0C2LwgFH28s9fOkbbsPGOBa1HCOOyn6Q5adBMHMKDFY8Ejh04RYuYuwOv\ny46X0VqqjEo0uUNWYlM0HVREGLxQEIxoOmu9pIAtj6KJjvXy8JCZQYTBI4TggY1a4UmaLx0ubkUC\nw3seP194T2VcYE8Y13155qvPL+F2gkc4C/sd7/crEjaYZMsI4wNf3MaDmzU8WpA95V7EyXginzCE\nTxnPLS8Og1cvK7AcCtN2sdvW5+6/A8IDnrexcV2Kge2e8AFvPAoayC/RZBKHODBdfGEhK5HhVLfm\nL9EEvAU/vNgHw3LBA953veYsvuebLhb6mvcyWHLrSQlYAbyNtO2vM9NEs29yM05BAErMuiGSxpn5\nfSpKICX8w2f3UFYkvKVgVmAaYEma05FoDl+TZ8CLO3ACPAaPl4UDvN9nOGSFtwevVlJg2i7sULVQ\n37TzSzSrYkODJJHgXhRllaNSZEqpEIMHeD68G4ddoe+bhUWuSJgmtAyJJvPfvfXqJo56Zq4+PNHf\nLzD04CUNeDstHX/+8jHe8/gFIYnw1xvmNuARQmRCyBcIIR+c1zVMC+FTxkXSBLMHQN+0sdMy/v/2\n7jxKrru6E/j31qt6VfWqt6rWZqtblmQrXmKMF2FsDAQwBDAePAwzExPIcMIQwkkywJCEgWS2/MGc\nyTkcSCaTzAmHLGTIsJxAJk7ChD2BMGfAgmAcW9iSJdnaLPWi3mpffvPHe7/aelG92t7vVX0/5/i4\nu9WSfup+Xe/d372/e3GtAcGnLv3TZ/D0Q1fQAUUvts3geS+OnXZ+zKRs3LBnAh/7ytP4zqmlLT9H\nl030qzY/GbNQrNRQ9dpQ10s0O+hkNUgzjt2WwfNX7tqp9//kjXjHSw/19c8cZfo1pR8jOoZFP0gP\nehbear7c8cNzfSbVFuVSawUvg9eH4GayKXv51eOX8NIbdoWitPbowQzuPpjBbXP9L8XSmbPZlN1x\n06b2DSfAy+D5+Dlwz+CVG81ZOm6y4t3Hm6pecqUqnFjnf3fz39XNfEUd4HUyEqLl7207/+p2Sqx1\nNANPOzibwvkreZSr/dugMXlEwiCl4js3WTlxaR37Z5K4cZ/bdOx8F2WaC+tF7PEZ4M0kYxDZPsD7\nq8cuQingjbdf63s94yTIq/m9AI4H+PcPjH7BTNnWQEpKupVq2iW+uFIwIoOnW+DqQKJREhjeF9qU\nV4bSXgJWb2Xd4UOEFRH86TtfjH3TCbz9j76Lb51Y2PQ5567ksGvC7ttDmn540Jk7/f1I2MF+PzKp\ntgDPZ0dSGgz9mtLPbqaDtlU3yUFYyZc7zrrpBjXt5WsAsJavwLYivroVbkefP3z60gbOLudDUZ4J\nuC3WP/fuewdSEaMDfj+bsem21yOgiwAvEUO2VMWVXBkR6bwMXv+stZ6Vrvr6GYxZkfrmqt8zeAAw\n7VWXdJPBK5Qb2cduWugfyDioKeDiyuZz7t0yeUTCICVjmxv2NDtxeQM37JnAvJdB7+Yc3uUuMnhR\nK4LpZGzb4ymPPHYBL9g/bezsTlME8tQmInMA3gDgE0H8/YOmz0pcM5M0Kn2sM0cXVwvIl6uBd9AE\nGhk8HUiYUhLYC8eOQqnWxjFAIyjxM7tt71QCn/35e3FwNoV//clj+NrxSy2/fu5KfiDDT3W2sVCu\nQgSwA97ZTDt2S5OVrM+GNTQY+qE0LEPOgUZJ3qBn4a35OoPnfv22Ku1eK5QxlfTXrXA7E16J3Fe9\n15H7bzJ3PMKw6HJFPy3oM842GTwfG7rTXnB0YSWPiXjnZ/car9GtGTy/56T1+bluSn/rGTyfZ/BS\n9evcXbue57d7ovNnkbmM+316rsszYe30iIRDs/2dqxcGjr35TKRWrSmcvLyBI3sm6qWrfkclFMpV\nLGWLXSUTMo6NpS0yeKcXs3j8/CoeYvbuqoJ6avstAB8AsG2OXUTeJSLHROTYwsLmzIXJ9IufSeWZ\nQKO5xzNeXbUJ5wPrZ/AqrRmjMGUE2unOgu316rlSBSL+O1LumojjM++6Bzftm8TP/8/v4YuPX6z/\nWj+HnANA0ntQ17t6hXIViagV+EZFJhVreaDKM4NnhFCewdMlmsXyVT6ze0oprOQ6z+BNxHUGb/Nu\n+mq+3LcB36l4FOuFCr7y5CW8cH6mZVD3uNJBmZ8y9y1LNH2ewdMltxdW8r4CpaRXitl8f/E7JgFo\nBLa9BHh+G//o63zDW7vO4O2a7LxE84CXTTrb5Vy2dnpEwlhm8LYZ6QS4wVyxUsORvRPYPRFHPBrx\nPez82aUclEJXmbZMyt7UqRYAHvnBBYgAD97GAO9qhh7giciDAC4rpb630+cppT6ulDqqlDq6e3f/\n5p0Mg37hvtaADFkzffPRB2dNKNHUZ7v0oHOdwYsHfOarF/XzNFvMKkrGuguWZhwbn3rni/HC+Rn8\n0v/6Pv78H86hVlM43+cAr313uFCuGTGTcMaxkS9X6xsA+kG433PwyJ9UGM/g6RLNAWbwcqUqKjXV\ncflb4wzeViWa5b4N+J6Mu0O9f3B2Ba+5mdk7oGnGmJ8MnhfgNZfhrxcrHc/AAxpB0nkvg9cpZ4sS\nzbzPEk3AvRYm49GOBoy3m6ln8PyXaAKNTPXihv8ZaddMJxGNSN8yeHpEwjiW+6W26MiqnbjkPife\nsGcSIoL96aTvDN6pBffPOLzL/1zZ9BabKEop/MVj53H3wYwRz6+mC+LJ7T4AbxSRMwA+A+BVIvKp\nANYxMMZm8LwbwMkFncEL/gckrks0K42AAgh5Bm+b8zRup7PuH4SnEjH8yTvuxosPzeL9n3sMv/P1\nkyhVa30bkQA0vu76RT9fNmMmYftcnDxLNI2gr5cw/bzu1LGyX/x2vtQlrltl8NYKlb51j5xIROsj\nfMJy/m7QDmQc7JqI487rOh/2nk7ZKFZq9Q1JoPsM3qW1gq/Szq1KNPNdZfBiXTVYAZpLNLsL8PTP\n3sJ6EZbPGWlWxA02zvYpwNMjEq4b0xLNfLm65cgYPSLhhj1ucDafdnyfwTvljbM4tLuLDN4WZdBP\nXFjDqYUsm6t0aOgBnlLqQ0qpOaXUQQAPA/i6Uuptw17HIO2eiOPnXnYID7zgmqCX0kI/RJy8vIGI\nwHdno0FoH3Reb+oRkplaW9EPu+0DRLspo2mXikfxRz/7Irz8yG587KtPA+jfiAQA9WG5LSWaBgR4\n+gFAv+BnBzQHj/zRAXYqRN+HYTRZWcn5DPB0ieY2Gbx+DfjW5w/n0kncuHeyL39m2M1OxHHs378a\nt8/PdPx7Mm2vR5WqG+xN+OgqqbOyNeUvUGrfhKvVVFcbcS+cn8adBzoPapvpWYB+Nx4m2jJ4C+tF\nzKZsXzPSADfY6FeA9+ySHpEwfgFecpt+AQBw4vI69k7F6689c+mk7wDvTwVCigAAIABJREFU9GIW\neybjvjY+tMyE28ioOfj8y8cuIBoRPHCrWc/WpgrvU7TBIhHBr7/hlvrOhyn07tn5lTz2TCa6Ks3o\nNxFBPBpBsTxKZ/A2n5Fw3+89wAPcc4sf/1d34Se9Hfjruyh/2E6jvFQ3WakhbkCAV8/geY1W8vU5\neMzgBcmKCFK25evBNmj1M3gDLNGsZ/A6zJDUS9e27KJZ7ls3Zh3cvvrmvYGfqw2zdNvrkd5w8tdk\npXFt+HkATrW/Rlf0PdPfNfKrr70J/+0td/j6PdpUtxk8e3OJZqdDzpvNZxzf58G2c3oxi/0zSdgh\n3lTulrND9163wUpjE2gu7WA5W9pyE2o7pxezXZe+Zhwb5aqqb8TVagp/+dgFvOzIrvrPH+0s0Cta\nKfW3SqkHg1zDONG7xEqZcf5OS3iz14DGg7sJZYHdcrbN4PkbRruTeNTC7731TnzpfS/HgT6WltRb\ncJf1XMKqESMr0t6D8nJOZ/AqiEZkLG/Kpvmdn74DP3vfwaCX0bF4NIKYJQMu0XSv004zb/FoBBHZ\nPAdPKVXvotkPej2vYXlmTzKp1tcj3bCn02HlQOuIAT+BUnuJZhAjY+bTDkTge5ZuozzaXfPChv8W\n+gAwn0liOVvqy8/ws0s5HBzD83fA1iM3ADeYOumNSNAanTQ7D6xPL2ZxuIvyTGDzsPPvPXcFF1YL\neOj2/V39eeOIT0djxG3w4b597Yw5AV48Gqln7uqDtUMc4Oldynx5cwavn80oolakPoC0X9ofHvIl\nQ0o0vRf7Fe+Bql/ZUOrdq27aW5+TFAYi4g5cHkIGb6bDs0UigpQd3fTAWijXUK6qvpVovubmvfjt\nh2/HS66f7cufN650ybju8qe/b34yeMmYhZjl3pD9ZPDaH8r1/4dZ9XLP4Qy+9YFX+g6M2kuRF9e7\ny+DVO2n2WKaplMKZxexYjkgAmrPBrQHehdU8cqUqjuzdKsDr7Gu+kithOVvqqsEKAMy2BXiP/OAC\nErEIN6d8YIA3RvRDBADsmzKnAUwiZo3WHLz4Nhm8ohkNS3ayqYtmxYwAT3dt0y/2vTasofGmB34P\nit8mK4Bbptle1q3/nH510UzaFh66fT/LM3uUaXv41JsFfgI1Eal/X/2UOLd3aQ6i6kWkuzNrzU1W\nlFJY3Ch1l8FL9yfAWx7jEQnA5rm3mm6w0lyi6XfYeb3BSpfZ0XRTY7VytYYvPn4R99+8N1Qdm4PG\nAG/M6B9oEzpoaolYpF6iWawHeOG9NNvPSGi5cv9KNAelsTvcOINnQlAatSKYTsbqO+bZUrUeSBP5\nNRGPDbzJij6f2Cknbm3qorlW8AK8Ps3Bo/6YSsRgRaTe1Xe9iwwe0NgA8PP7LK80PedViARRotmt\neDSCaESQLVawlq+gVK1h14T/81Q6g9frqIQzYzwiAdjcsEc7eUkHeI3s22zKRiIW6TioPr3QfQdN\noNHIaGmjhG+fXMRStoQ3vpDdM/0I71M0dUXvMF5jVIlmUwavFP4Mng6ItsrgOYbvPtlWBFZEWko0\n44YE22knhmWvO2E3bcGJtIm4NfASzZlkzFemLGVHN83BW+siE0iDF4kI0k4MS20ZPD9n8ABgUjcr\n8fn7HNuq3yv1RmIYGpOJCFLxKLLFChY2CgDQVQZvxolhIh713dWx3TiPSAC2HrkBuB00d03YLc1M\ndNa206/56UW3O+l8l91JMxONDN4jj13AZCKKV9wYrpnYQTPjyY2GRmc9TMvg1cckVKqIRgQxAzp8\ndisSESRj1tZdNA0PXEUETqwx/LRoSIkm4JZsrDQ1WWGJJnVrIj7YEs2VLkYbpOLWpk2hegavTyWa\n1D9px+7pDB6AendUv7+v+TW6ELKOwu7PXhUL6+7Xzs+Qc01EMJ9xes7gjfOIBGDnEs2tusDPpZM4\nt9LZ1/zU4gbm0913J03ZFmwrggsrBXz5iUt43Y/vQzxqxrNIWIT3KZq6Uj+D57P71SAlYla91XO+\nZEZJYK9SbeVWelaR6Rk8wN0JbszBqyFhyItq8+DTfJkZPOreRGJwJZpnl3M4s5j1PUQ6ZUc3tSuv\nn8FjBs846ZTd0xk8oKlE0+fvS7Zk8MLVedrdyKhgYaMIoLsMHgDM92HY+TiPSAAamwLNXTSVUjh5\nqXVEguZn2PmphSwO7+5+hJOIIJ2K4a9+eAEbxQq7Z3bB/KdN6qtUPAoxZMi5Fo9aWNpoPLibMHet\nV05buVVjbpv5/zbHtpBrmkuYtM24+aVTNo5fXAPgZvC6Lf0gmohHd5yDd3m9gJ/7k+8h48Rw29wM\nbpubxm1zM1s+jJYqNRw7s4xvPHUZX//RZTzjnT15+73X+VqTE49uKpVay7tr7NccPOqfjGPj1KJ7\nVkmfwUv5zKJ1PU+uqSFPmM7gAe7as6UKFtfdAK+bLpqAew7vmycWoJTqumnQOI9IALYu0by0VsR6\nsdLSQVObSyexkitjvVDG5A5VBbWawpmlLO67YVdP68uk4jh+cQ27JuK4l51/feNdY8xMxKPYO5kw\nqgQyHovUM3hFgwKKXji21fKiqd/203QhKEk7inypgnK1hkpNGZPBc8/geRsBPINHPZhMRLHhzS7b\nyke//DSevLCKQ7tS+LunF1BT7sevmU7Ug73pZAzfOrGAvz+xiGypCtuK4MWHM3jri6/DK2/a47tx\nQ8q2NmUV15jBM1Y6ZWP5WT3ovIKUbSES8RdoTHcZ4CVjjQqRIMYk9EKXRy9sFBGzpOvzpfMZB4Vy\nDQsbReyZ9H/kRI9IuOPATFd//yhIblGieeLyOgBsmcHTpaznruRx8zXbf9+eXyugUK713LxGz5t8\n8LZrYPn82SIGeGPnF155Pd5811zQy2iRiFoolhuDzk0JKHqRatuNbxyEN/9HTgenBcNGVqRTNgrl\nGvKlqttFMyQPNGSeiXjUmzFX27TZ9eSFNXz22Fm8475D+A8P3oJssYInLqzhh+dW8MNzq/jhuRV8\n6YlLANyA76E79uOVN+7BS66f7amFdyq+ucnKar4Mx7aM2pAjVyYVw5VcCUopbBQqvs/RAehqTALg\nvkYvNlW9ACEq0bSjuLRWwOJ6EbOpuO+gWGuehddNgKdHJBwc0xEJwOamagBwQnfQ3CaDB+gAb2rb\nP/e0NyLhcI8Bnp43+U/YPbMr5j9tUl/dtG8KN+0LehWt3CYrzSWB4bhR7cRp240PUwbPsS2sFyqN\nofOGrFm3Tb6SK7kZvBCcZyQz6TNP2WKlZRi5Ugof/uKTmE7G8J5XHQHgBl53H8rg7kOZ+uet5spY\nzpVwcNbp20y5lFcaXaup+kPvWqHMBiuGSjs2qjWFtUIFG8WK73N0APCyI7vwxIVrfI8KcOwociX3\n/Fn4zuBFkS1WsbBR7Pr8HQDMZ9xg4+xyHnf5q4YG0BiRcHDX+Jb6tzdVA9wGK2knVh803qwxC2/n\ns4+nFtwgsZczeABw+/wMzq/kcecYZ1l7wW1BClwiZtXn4I1MBs+OIlfcKoNn/r8tGXMP8NczeIYc\nQNctmy+vF1Gq1ozvSErm0tmW9nN433jqMr59cgnvvf/Ijk1Spp0YDu1K9XVguBOPQinUy9UB9wwe\nRySYaVa3cfcyQRNdBOK37p/Gf//pOxH1maFtbrKSL1WQiEW6zoQN20Tc3fxc3Ch2NQNP0+WC3XbS\nPOONSBjnDB7gdlZvbrJy8vI6juyZ3PK1Le3E4NjWVRutnFrMIhmzsHeqt14P73zZYfz5L9zX19fZ\ncWLGkxuNtXi0OYNXMyZj1AvHtlo64jUOwpufdXKbrFTMK9H0Mi3nvZsLM3jULT13rDnLXq7W8OG/\nPo7Du1J42z1dpAR6lNpiTWuFMoecG0q/Hi1lS9golH3PsutFcyOsXKkaivuKVp+Dt95bBi8Rs7Bn\nMt51J80zS1lEBGM7IkFz7Gj9WlJK4elLG7hhi/JMQM/Cu3r30tOL2b5vgJF/DPAocImYhUpNoVKt\noVCuGpMx6oUTby170POtwnBuzG2yUm2UaBoS4OkD1+e9OTxh+FqSmXQGrzmY+vR3n8MzC1l86IGb\nAznzpsu3mzP/q3mWaJoqk2pk8Lot0exWsqmJV75cDU15JuD+7FVqCpfXi1130NR6mYV3ZimHubQz\ntiMStGTMqp/9XdwoYTVfxpEtZuBpnQw7P72YxaHd450ZNcF4X9lkhETMvQwLldrInMFL2e4upZYv\nu2+HISjRTVZMO7yvd8z1zSUMX0syk34Y1/PLVvNlfOwrT+Pew7N49c17AlmTzsI0Z/7dDB4DPBPp\n16PlXKnrJivdcmJRlCo1VGsK+VK47pn6Z0+p7mfgaQcync9la3dmMTvWIxK05o7fO3XQ1ObSyR3P\n4BUrVZxdzvXcYIV6xwCPAqczRMVydWTO4Dl2FEXvBgw0NVkJQVmhY1vIlxsBng7AgzadjEGkqUQz\nRGVJZBbdll7PL/vdb5zESr6MX3/DzYGVFaXi7utetsgzeGHQnMFbH3IGT18ruVLFK9EMzz2zeVZg\nzxm8dBIXV/MoeWf4O6VHJBycHe/yTMCbv+nd63fqoKnNpx2sFSpYzW89Zubscg41BRxmBi9wZjy5\n0ViLR5szeLVQ7UZup/kGDDTKrsLwb0vaFpRC/QXclBLNqBXBVCKG8ytugBeGjqRkJt2WfqNQwbNL\nWfzxt8/gn985h1v3Twe2Jr35ozN4tZryumhyI8NEjm3Bjkaw7JVo+p1l14vG/LJq6Eo0mzc5e83g\nzWcc1BRwYcVfFo8jEhqcmIW895pz4vI6JhNR7Nnh+9IYlbB1Fu/Ugtud9NCu3jpoUu8Y4FHgdABR\n0Bm8EN2stqOzSzpzV2+yEoJ/m17j8kYRgDkBHuDumusMXhiCZTJT4wxeGb/5Nz+CFRH8ymtvDHRN\nOrOhN4M2ShUoxSHnphIRZBwb51byUApDzeA5zQFeSEs0gT5k8PQsvKu07W/HEQkNjm3VqwZOXNrA\nkT0TO1YxNA8734qegXeIwXPgGOBR4OJeSWa+VEWpUjOmJLAXjXIrL4NXqsCORny3ww6CDk6XczqD\nZ86a006sXlYXhnJXMpMTsyAC/O1TC/ji48/j3T9xPfZO+R+W3Nc1eQ/pOoO35mXQGeCZK5Oy6x0F\nh3kGLxnTG4gV5EqVcJVoxhtr7ccZPMD/qASOSGhIekcyAODk5Y0dz98BrcPOt3J6MYvZlL3jmBka\nDnOe3Ghsxb0AQj/QhKncZDv639CcwQvLTVjvBl/JlgCYl8HTwvL1JPNEIoKUHcX/fWYJ+6YS+LmX\nHwp6SS3D1wH3/B0AdtE0WCZl14OLIDJ4eZ3Bi4Vns0t/nWwr0nP58d6pBGKW4OyyvxJNjkhocJus\nVLC0UcRStrTj+TsAmHFimIhHdyzR5Pk7MzDAo8DppipXcmad+epFqu1hLVuqtBwuN5l+eFj2AjyT\nAu4ZpznAC8fXk8ykHzR/9bU3GnEtOfHWTaHVegYv+LXR1tIpGyvefWuYZ/CctjN4Ydrs0vfG3ZPx\nnhsaWRHBXNrxPQuPIxIaHDuKQrmGp70GKzfsMCIBaMzC2y6Dd8qbgUfB452DAqdLAFfy5gUU3Wq+\nAQMI1TmJZFuAZ1LAzQwe9cvuyTh2T8bxpjv2B70UAG5GIxqRRgav4AV4zOAZK9NUhqYb9wxDc5OV\nXIjuLUAjwNs1YV/lMzszl076P4O3mMV17KAJoHEfffz8CgDgyN6dSzQBbDvsfK1QxuJGkQ1WDMEA\njwKnAwi9Exo36MxXt/RNrLlEMyxdH3U240quhJglsCLBtI3fip49FZFG91Wibvz+z9yFZMxCxJDr\nW0S8hgetZ/A4JsFc6aYNp+GWaDYqRIqVWqg2RfV9sNfzd9qBjIO/fvxix5+vlMKZpSzedMCMjZ2g\n6QDvsbOrSNkWrp2++lnkubSD75xahlKqJQt7RjdYYQbPCHxCosDpB/XVETqD194wIVeqhGaXNdWU\nwTNtJmHa2zFP2dHA5pXRaLh2JtnygG6CiXgU2U0lmgzwTJUJKMBLtVVZhKmaIWpFkIhFeu6gqc1n\nHKzkyvWM99UsZ0tYL1RwHRusAACS3mbBY+dWcMNVOmhqc+kk1ouV+jlhTXfQvJ5n8IzAAI8CpzN4\nJjb16Faj5bkO8KqhOYNXb7KSKyFh2IODfiAPS7BM5IcTj9ZnZ64VKhABJtkt1ljppjPBQ+2i6b3+\nLWbdUTZhCvAA4AOvvQk/9aL5vvxZupNmp+fwziy5n3eIIxIANK6dc1fyuOEqHTQ13ZymvTT2mYUs\nRIADLH81AgM8Clw9wPNKNEfh4V03TMg2lWiG5d+ly3/KVWXUiASgsWPOEQk0ilJNM6nW8mVMxqPG\nlJDSZs0ZvOb2/4OmX6OXNsK5KfqOlx7CHQfSffmz5nWw0WEnTV1GyAyeq3lz4GodNLXthp2fXsxi\nLp2sj76iYA396U1E5kXkGyLypIg8ISLvHfYayCw6iFj1mqyYVhbYDduKwIpIfTc+F8IumoB53wu9\nYz4KZbxE7VLxaEuTFZZnmk0HeHY0MtSHWisisKMRLG3oDF447i2DoDN427Xtb/esNyJhniMSALRe\nOz/WYYA3v82w89OLG2ywYpAgtucrAH5ZKXULgHsA/KKI3BLAOsgQ+sa4Us/gmZU16kajYYKXwSuG\nJ4MXj0agy/BNW3P9DN4Qd8uJhsWxG2fw1vJldtA0nA7wgiijdWwLSyE8g9dv004Mk4lox8POT3NE\nQouWDF6HJZpTySgm49GWAE8phdMLWRxmgxVjDP0KV0pdVEp933t7HcBxAGxnNMasiCBmCVa8pgKj\nkt5P2e55GqUUciGaVSQicLwMmWkZvOlkDCKNg+FEoyQVtxpn8PIVzsAz3Iy34TTM83eaE7PqJZqm\nbcQN24FM57PwOCKhlb52ErEI9s8kO/o9IoK5jNOSNb28XkS2VOWQc4MEuoUhIgcB3AHgO1v82rtE\n5JiIHFtYWBj20mjIElELqyN0Bg9wz+HlSlUUKzVUaypU58Z0AGXayIqoFcF0MhaakRNEfrSXaHJE\ngtniUQsT8ehQO2hqSdvColeiOe4l6/Npp6MMnh6RwDb+DXrj+YY9E77O+7qz8BoZvFMLHJFgmsCe\n3kRkAsDnAbxPKbXW/utKqY8rpY4qpY7u3r17+AukoYrHLJSqNQDhOzC+HTeDV0XeK7kK003Yqe/q\nmbfmo9dlcOv+6aCXQdR37U1WWKJpvnQqFkiA59hRFCs1723zXqeH6cCsg3NX8qjV1I6fxxEJm+kz\neJ2WZ2pz6STOXclBKfdrfpoz8IwTSEpBRGJwg7s/VUp9IYg1kFmah1YnRqQ2Xg8tzpXdB7YwnRvT\nDwwmBqWfePvRoJdANBCOHUW+XEW1prCaZ5OVMLhp31Tfhnb70RzUjUrVS7fm00kUKzUsbBSxd2r7\nQd3Hnr0CoPNmIuMgZVvIpGzcdZ2/rqZzaQfZUhUruTLSKRunFzcQj0Zw7XRnZZ40eEMP8MSdovgH\nAI4rpT467L+fzKQ7acYsQdQajQAvFY9iYb1Yn4UXpnNjzXX5RDQcehNovVBGtlRliWYI/P7b7kIH\ns6H7rjnAG+cumoA77BxwZ+HtFOB99tGz2DsVx72HZ4e1NONFrQi+/e9e1bLJ3on5+qiEvBfguaWv\nHOtijiCe3u4D8DMAXiUiP/D+eyCAdZBBdCmgiSWB3UraFrKlCnJeiWaYzo2ZXKJJNKr0Od3n1woA\ngKkAmneQP5GIQAKI8JqDOhMrLYZJB3g7ncO7sJLH3z51Gf/irvmR2UTul6Rt+Q7M5tKt4ylOLfBs\no2mGfvdQSv09AIb41EIHEqN0o0rZFnLFKrIlncELz78tGYt6/w/PmonCTs/KvLjiBXjM4NE29P1E\nhJUW+2eSENl52Pnnjp1FTQE/9aL5Ia5sdO33Mnhnr+RQrtbw3HIOr7t1X8Crombj/apAxtDlAaOU\nMXK8MQm6yUqYymh0Bi8+Qt8PItPpn7uLqzqDxwCPttZ8TjqIDKJJEjELeycT22bwqjWFzz16Fi87\nsque7aPeTCdjmEq4s/DOXcmjUlPM4BmGAR4ZYSQzeN6YhGyoSzT5EkE0LLob48VVNxMx7TDAo63p\nDN64d9DUDmQcnL2ydYD3zRMLuLBawMMvOjDkVY22+YzbvfT04gYAcAaeYfj0RkbQgcQoBRSOHUWl\nprCaC98w2qTBXTSJRpVTD/CYwaOdOV4Z/ShVvfRiLpPcdtj5Z777HGZTNl5zy94hr2q06VEJegbe\n4V3sTmqS0XmaplCLR0evqYfO2C1slLz3w1eiOUrfDyLTpeolmm4GbyoZntcMGi6HGbwW82kHz68V\nUKxUWz5+eb2Arx2/jDffNQd7REYwmWIu7eDsch7PLGQx48SQTtlBL4ma8GonIzQyeKNzs9K78Qvr\nRQDhyuDp84KjlFElMl09g+c1WeGYBNqO443UCNP4nUE6kHGgFHDB+9nR/ux751CpKTZXGYC5dBL5\nchXff/YKz98ZiE9vZASdwRulkkC9s7q4UYQVEd9zZoKkvw+J6Oh8P4hMN2E3SjSjERmp10Pqr0aT\nlfDcVwZpq1EJtZrCZx89i7sPZXD9bpYP9pselfDUpXUGeAbiKwMZoTEHb3QuSV2SubhRhBOyTmf1\nEs0QZR2Jwk5n+fPlKqaSsVC9ZtBw6VE2YerOPEgHmoada//v1BKeXcrhLXczezcI85lk/W0G0OYZ\nnadpCjWd3QpTGePVNGfwdDlNWOjvAzN4RMNjRyOwvSHMHHJOO6ln8EbontmLPZNx2NFIS4D36UfP\nYioRxetvvSbAlY2u/TONAI8ZPPMwwCMj6AxefIQCilTTGbyw7bLqsz+TfMgkGqqUtxnE83e0k3qT\nFZbxAgAiEcFcOlkflbCcLeFL//g8/tmdcyN1tt8kk4kYZrxRLgzwzMMAj4ygSzNHaTdS34AL5Vro\nztK87Mhu/MHbj+LHr50KeilEY0VvBk0xwKMdJJnB22Q+7dTP4H3h++dQqtbwMMszB2ou7WbxDs4y\nwDMNAzwyQmIEm3roDJ77drj+XVZEcP/Ne3kGiGjI9GsFZ+DRTvRGAAO8hgMZt22/Ugqf/u5zuH1+\nBjft4yblIB2cTWE+k+R1aCDWX5ERGmfwRmfPoXk+EVtZE1EnmMGjTjRKNHlv0eYzSazmy/j6jy7j\nmYUsfvPNLwh6SSPv1x64GWuFctDLoC3wlYGM0OiiOTq7QM3n7lLc3SKiDkzEdYDH2zNtbyoRQyIW\nwd6peNBLMYbupPmRLz+NiXgUD952bcArGn3XziRxLZJX/0QaOt5ByAijOOhcz74rVmosXyCijujM\nDEs0aSdJ28JX3/8T2DuVCHopxtBz2Y5fXMNPv/hAyzEJonEzOvVwFGr67N0oBXhA4xxeiiWaRNQB\n/ZrBLpp0NXNpBzGLj3HagVmn/vZbXnQgwJUQBY9PnWSEeL3JymjdrBzbwnK29TweEdF26k1WGOAR\n+TLlte3fP5PEC+amg14OUaAY4JERbt0/hZ9/+WHce/1s0EvpqxQ7nRGRD/o1g4POifz7L296QcsA\nbqJxxTsIGSEetfChB24Oehl953i78SzRJKJOsIsmUfceeME1QS+ByAijVQ9HZBhm8IjID12iyTN4\nRETULQZ4RAOkz96FbdA5EQXj+t0TmExEsWeS7e+JiKg7rBsjGiAd4CU5jJaIOvCKG3fjsf/4k4hE\nJOilEBFRSPGpk2iAHD0mgRk8IuqAiEAY2xERUQ9Yokk0QCkvg8cxCUREREQ0DAzwiAZId8Rz2EWT\niIiIiIYgkABPRF4nIk+JyEkR+WAQayAaBl2ayQweEREREQ3D0AM8EbEA/C6A1wO4BcBbROSWYa+D\naBj2zzhIxCJIp+ygl0JEREREYyCIurG7AZxUSp0CABH5DICHADwZwFqIBur1t+7Dvdffj6kEZ1oR\nERER0eAFUaK5H8DZpvfPeR8jGjmRiCDD7B0RERERDYmxTVZE5F0ickxEji0sLAS9HCIiIiIiIuMF\nEeCdBzDf9P6c97EWSqmPK6WOKqWO7t69e2iLIyIiIiIiCqsgArxHARwRkUMiYgN4GMAjAayDiIiI\niIhopAy9yYpSqiIivwTgSwAsAH+olHpi2OsgIiIiIiIaNYFMX1ZKfRHAF4P4u4mIiIiIiEaVsU1W\niIiIiIiIyB8GeERERERERCOCAR4REREREdGIYIBHREREREQ0IhjgERERERERjQhRSgW9hqsSkQUA\nzwa9ji3sArAY9CJo5PE6o0HjNUbDwOuMhoHXGQ1DUNfZdUqp3Vf7pFAEeKYSkWNKqaNBr4NGG68z\nGjReYzQMvM5oGHid0TCYfp2xRJOIiIiIiGhEMMAjIiIiIiIaEQzwevPxoBdAY4HXGQ0arzEaBl5n\nNAy8zmgYjL7OeAaPiIiIiIhoRDCDR0RERERENCIY4BEREREREY0IBnhdEJHXichTInJSRD4Y9Hpo\nNIjIvIh8Q0SeFJEnROS93sczIvIVETnh/T8d9Fop3ETEEpF/EJG/8t7nNUZ9JyIzIvJnIvIjETku\nIvfyWqN+EpF/690v/1FEPi0iCV5j1CsR+UMRuSwi/9j0sW2vKxH5kBcTPCUirw1m1a0Y4PkkIhaA\n3wXwegC3AHiLiNwS7KpoRFQA/LJS6hYA9wD4Re/a+iCArymljgD4mvc+US/eC+B40/u8xmgQfhvA\n3yilbgLwQrjXHK816gsR2Q/gPQCOKqVuBWABeBi8xqh3fwzgdW0f2/K68p7THgbw497v+T0vVggU\nAzz/7gZwUil1SilVAvAZAA8FvCYaAUqpi0qp73tvr8N9GNoP9/r6pPdpnwTwT4NZIY0CEZkD8AYA\nn2j6MK8x6isRmQbwcgB/AABKqZJSagW81qi/ogCSIhIF4AC4AF5j1COl1DcBLLd9eLvr6iEAn1FK\nFZVSpwGchBsrBIoBnn/7AZxtev+c9zGivhGRgwDuAPAdAHuVUhfYBXdUAAADqElEQVS9X3oewN6A\nlkWj4bcAfABAreljvMao3w4BWADwR1458CdEJAVea9QnSqnzAD4C4DkAFwGsKqW+DF5jNBjbXVdG\nxgUM8IgMIyITAD4P4H1KqbXmX1PuXBPONqGuiMiDAC4rpb633efwGqM+iQK4E8D/UErdASCLtlI5\nXmvUC+8M1ENwNxOuBZASkbc1fw6vMRqEMFxXDPD8Ow9gvun9Oe9jRD0TkRjc4O5PlVJf8D58SUSu\n8X79GgCXg1ofhd59AN4oImfglpe/SkQ+BV5j1H/nAJxTSn3He//P4AZ8vNaoX14N4LRSakEpVQbw\nBQAvAa8xGoztrisj4wIGeP49CuCIiBwSERvuwcpHAl4TjQAREbjnVY4rpT7a9EuPAHi79/bbAfzF\nsNdGo0Ep9SGl1JxS6iDc166vK6XeBl5j1GdKqecBnBWRG70P3Q/gSfBao/55DsA9IuJ498/74Z5d\n5zVGg7DddfUIgIdFJC4ihwAcAfDdANbXQtwsI/khIg/APcdiAfhDpdSHA14SjQAReSmAbwF4HI3z\nUb8G9xze5wAcAPAsgH+plGo//Evki4i8AsCvKKUeFJFZ8BqjPhOR2+E287EBnALws3A3lnmtUV+I\nyG8A+Cm4Xaj/AcA7AUyA1xj1QEQ+DeAVAHYBuATgPwH439jmuhKRXwfwDrjX4fuUUv8ngGW3YIBH\nREREREQ0IliiSURERERENCIY4BEREREREY0IBnhEREREREQjggEeERERERHRiGCAR0RERERENCKi\nQS+AiIho2LzREF/z3t0HoApgwXs/p5R6SSALIyIi6hHHJBAR0VgTkf8MYEMp9ZGg10JERNQrlmgS\nERE1EZEN7/+vEJG/E5G/EJFTIvJfReStIvJdEXlcRK73Pm+3iHxeRB71/rsv2H8BERGNMwZ4RERE\n23shgHcDuBnAzwD4MaXU3QA+AeDfeJ/z2wA+ppR6EYA3e79GREQUCJ7BIyIi2t6jSqmLACAizwD4\nsvfxxwG80nv71QBuERH9e6ZEZEIptTHUlRIREYEBHhER0U6KTW/Xmt6voXEPjQC4RylVGObCiIiI\ntsISTSIiot58GY1yTYjI7QGuhYiIxhwDPCIiot68B8BREfmhiDwJ98weERFRIDgmgYiIiIiIaEQw\ng0dERERERDQiGOARERERERGNCAZ4REREREREI4IBHhERERER0YhggEdERERERDQiGOARERERERGN\nCAZ4REREREREI+L/A6pa/A9C/I6JAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x5efb7b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "CRV = np.random.uniform(0, 15, 100)\n",
    "fig = plt.figure(figsize=(15, 5))\n",
    "plt.plot(CRV)\n",
    "plt.xlabel('Time')\n",
    "plt.ylabel('People')\n",
    "plt.legend(['ContinuousRandomVariable'])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 金融有哪些常用的分布？\n",
    "### 二项分布(Binomial Distribution) \n",
    "投一个硬币，0.5概率向上，投了5次，重复50次，每一轮向上的次数有多少？\n",
    "\n",
    "### 正态分布（Normal Distribution） \n",
    "服从一定的均值与标准差分布。\n",
    "\n",
    "### t分布 （T-Distribution）\n",
    "t分布概率密度曲线以0为中心，左右对称的单峰分布；期形态变化与自由度大小有关，自由度越小，分布越散，而自由度与样本量和变量数量有关。当自由度为30是，t分布已经接近标准的正太分布曲线,当自由度为120时，等于正太分布。一般自由度为1-30,40,50,...,120。与标准的正态分布相比，t分布呈现‘尖峰厚尾’的特点，更加符合收益分布的特点，因此在推断统计分析中常常会使用t分布。 "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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qbk8y3FqbsA8639A5g8dY7Znk31tr/9FaezTJ+UnmDTgTfdBauyrJLwadg/5r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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xddd9470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#二项分布(Binomial Distribution) \n",
    "BinomialRandomVariable = np.random.binomial(5, 0.50,50)\n",
    "fig = plt.figure(figsize=(15, 5))\n",
    "plt.hist(BinomialRandomVariable, bins = [0, 1, 2, 3, 4, 5, 6],align='left')\n",
    "plt.xlabel('Value')\n",
    "plt.ylabel('Occurences')\n",
    "plt.legend(['BinomialRandomVariable'])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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7aREWzPherZyOUmN92zcjuXUTZi/fxa392uJXTxa+FxG5WIGBgXTo0MHpGD7LY1NDjTH+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\nRERERCTFKBEUERERERFJMf8fb6nLVYmmPmYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ce4c18>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#正态分布（Normal Distribution） \n",
    "\n",
    "from scipy import stats\n",
    "mu_1 = 0\n",
    "mu_2 = 0\n",
    "sigma_1 = 1\n",
    "sigma_2 = 2\n",
    "x = np.linspace(-8, 8, 200)\n",
    "y = stats.norm.pdf(x,mu_1,sigma_1)\n",
    "z = stats.norm.pdf(x,mu_2,sigma_2)\n",
    "fig = plt.figure(figsize=(15, 5))\n",
    "plt.plot(x, y, label='sigma=1')\n",
    "plt.plot(x, z, label='sigma=2')\n",
    "\n",
    "plt.xlabel('Value')\n",
    "plt.ylabel('Probability')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ZOj8/yGc7ZdfG1Zhxa0sW/uZHhlWHwMC7yMiId3CyIiJyuVTQiYhIng4fXsjp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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10e24550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.arange(-4,4.004,0.004)\n",
    "fig = plt.figure(figsize=(15, 5))\n",
    "plt.plot(x,stats.t.pdf(x, 5),'r', label='df=5')\n",
    "plt.plot(x,stats.t.pdf(x, 30), label='df=30')\n",
    "plt.plot(x,stats.t.pdf(x, 120),'y', label='df=120')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 什么是偏峰与峰态？\n",
    "### 偏峰（Skewness）\n",
    "\n",
    "一个对称的分布偏峰（skewness）的值为 0. \n",
    "正倾斜偏峰分布意味 mean > median > mode。 \n",
    "负倾斜偏峰分布意味 mean < median < mode。\n",
    "\n",
    "### 峰态（Kurtosis）\n",
    "尖顶峰度Kurtosis>3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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jtpMEBJU2H1RQVMy3mw9wRZMaBAUZ23ECmgaTiIiIlJFVE2HFm9D5AWh5k+00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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x111bf278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 偏峰（Skewness）\n",
    "# s是指shape=sigma, loc是mu。 \n",
    "# lognorm.pdf(x, s, loc, scale)\n",
    "x = np.linspace(stats.lognorm.ppf(0.01, .7, loc=-.1), stats.lognorm.ppf(0.99, .7, loc=-.1), 150)\n",
    "lognormal = stats.lognorm.pdf(x, .7)\n",
    "fig = plt.figure(figsize=(15, 5))\n",
    "plt.plot(x, lognormal, label='Skew < 0')\n",
    "plt.plot(x, lognormal[::-1], label='Skew > 0')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Excess kurtosis of leptokurtic distribution: 3.0\n",
      "Excess kurtosis of mesokurtic distribution: 0.0\n",
      "Excess kurtosis of platykurtic distribution: -0.593762875598\n"
     ]
    },
    {
     "data": {
      "image/png": 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h/rZjfy2RvKj9P6BZP1j6BuxfUSL1iYhI2abQJiIiJcs04Zdn4cQOuO//oHLA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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10e32ba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 峰态（Kurtosis）\n",
    "xs = np.linspace(-6,6,300)\n",
    "normal = stats.norm.pdf(xs)\n",
    "# Plot some example distributions\n",
    "fig = plt.figure(figsize=(15, 5))\n",
    "plt.plot(xs, stats.laplace.pdf(xs), label='Leptokurtic')\n",
    "print 'Excess kurtosis of leptokurtic distribution:', (stats.laplace.stats(moments='k'))\n",
    "plt.plot(xs, normal, label='Mesokurtic (normal)')\n",
    "print 'Excess kurtosis of mesokurtic distribution:', (stats.norm.stats(moments='k'))\n",
    "plt.plot(xs,stats.cosine.pdf(xs), label='Platykurtic')\n",
    "print 'Excess kurtosis of platykurtic distribution:', (stats.cosine.stats(moments='k'))\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Skew: -0.0844255630964\n",
      "kurtosis: 2.86011789931\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0xe010908>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#计算600036的偏峰与峰态\n",
    "import tushare as ts\n",
    "\n",
    "data = ts.get_k_data('600036', start='2016-01-01', end='2016-12-31', ktype='D',autype='qfq')\n",
    "data.index = pd.to_datetime(data['date'],format='%Y-%m-%d')\n",
    "data['returns'] = data['close'].pct_change()[1:]\n",
    "returns = data['returns'].dropna()\n",
    "\n",
    "print 'Skew:', stats.skew(returns)\n",
    "print 'kurtosis:', stats.kurtosis(returns)\n",
    "fig = plt.figure(figsize=(15, 5))\n",
    "plt.hist(returns, 30)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 如何做假设验证？\n",
    "P-Value越小代表拒绝假设。\n",
    "用JarqueBera检验是否正态分布，假设回报率是满足正态分布，然而当p_value<0.05则拒绝原假设，该股票回报率不为正态分布。\n",
    "\n",
    "用t检验600036股票收益率均值是否为0，假设平均收益率为0，然而当p_value>0.05则无法拒绝原假设，该股票平均收益率为0。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The returns are likely not normal.\n"
     ]
    }
   ],
   "source": [
    "import tushare as ts\n",
    "from statsmodels.stats.stattools import jarque_bera\n",
    "\n",
    "data = ts.get_k_data('600036', start='2016-01-01', end='2016-12-31', ktype='D',autype='qfq')\n",
    "data.index = pd.to_datetime(data['date'],format='%Y-%m-%d')\n",
    "data['percentage']=data['close'].pct_change()\n",
    "\n",
    "returns = data['percentage'][1:]\n",
    "_, pvalue, _, _ = jarque_bera(returns)\n",
    "if pvalue > 0.05:\n",
    "    print 'The returns are likely normal.'\n",
    "else:\n",
    "    print 'The returns are likely not normal.'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The returns are likely 0.\n"
     ]
    }
   ],
   "source": [
    "t_test = stats.ttest_1samp(returns, 0)\n",
    "if t_test.pvalue > 0.05:\n",
    "    print 'The returns are likely 0.'\n",
    "else:\n",
    "    print 'The returns are likely not 0.'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 作业\n",
    "计算别只股票的分布偏峰与峰态"
   ]
  }
 ],
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   "display_name": "Python 2",
   "language": "python",
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  "language_info": {
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    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
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   "pygments_lexer": "ipython2",
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